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Finding the Fourth Proportional to 269,894.59, 404,818.37 and 109,987.31

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Solution

The fourth proportional to 269,894.59, 404,818.37 and 109,987.31 is: 164,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,894.59 : 404,818.37 = 109,987.31 : x
  2. Step 2: Convert to fraction form
    269,894.59/404,818.37 = 109,987.31/x
  3. Step 3: Cross multiply
    269,894.59x = 404,818.37 × 109,987.31
  4. Step 4: Simplify right side
    269,894.59x = 44,524,881,737.74
  5. Step 5: Solve for x
    x = 44,524,881,737.74/269,894.59
  6. Step 6: Final answer
    x = 164,971.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.